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The average of N numbers is 12. If a number 6 is removed, then average becomes 14. What is the value of N?

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Average of N numbers = 12

∴ Sum of N numbers = 12N

According to problem,

⇒ 12N - 6 = 14(N - 1)

⇒ 12N - 6 = 14N - 14

⇒ 2N = 8

⇒ N = 4